Place the beer and the egg in a separate bowl. Whisk until the two ingredients are well mixed. Set aside.

Put the potato chips in a resealable plastic bag. Crush the chips into small pieces. Place the crushed chips in a third bowl. Set aside.

Place an oiled griddle on the grill grate. Preheat the grill on high (550-600°F/290-315°C) for 10 minutes with the lid closed. Turn the heat down to medium (350-450°F/175-230°C).

Rinse the fillets. Pat the fish dry with paper towels. Dip the fish fillets into the bowl of flour. Shake excess flour away. Dip the fish into the egg mixture to coat the entire fillet with liquid. Dip the wet fillet into the crushed potato chips. Place the breaded fillets on a plate.

Melt and spread the butter over the griddle. Place the hash browns on one side. Brown the potatoes.

Make a hole in the center of the hash browns on the griddle. Fill the hole with the baked beans.

Place the fillets in the butter on the open side of the griddle. Turn the fish after 5 minutes or when the breading is golden brown. Cook, lid down, for 2 to 3 minutes.